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Finding the Third Proportional to 78,822 and 170,752

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Solution

The third proportional to 78,822 and 170,752 is: 369,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,822 : 170,752 = 170,752 : x
  2. Step 2: Convert to fraction form
    78,822/170,752 = 170,752/x
  3. Step 3: Cross multiply
    78,822x = 170,752 × 170,752
  4. Step 4: Simplify right side
    78,822x = 29,156,245,504
  5. Step 5: Solve for x
    x = 29,156,245,504/78,822
  6. Step 6: Final answer
    x = 369,899.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.